47884431672000 has 672 divisors, whose sum is σ = 213557127473664. Its totient is φ = 9950010624000.

The previous prime is 47884431671971. The next prime is 47884431672031. The reversal of 47884431672000 is 27613448874.

47884431672000 is a `hidden beast` number, since 4 + 7 + 88 + 44 + 316 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225419 + ... + 9862581.

Almost surely, 2^{47884431672000} is an apocalyptic number.

47884431672000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47884431672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106778563736832).

47884431672000 is an abundant number, since it is smaller than the sum of its proper divisors (165672695801664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47884431672000 is a wasteful number, since it uses less digits than its factorization.

47884431672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637214 (or 8637191 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 47884431672000 in words is "forty-seven trillion, eight hundred eighty-four billion, four hundred thirty-one million, six hundred seventy-two thousand".